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Finding the Fourth Proportional to 629.52, 944.24 and 196.67

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Solution

The fourth proportional to 629.52, 944.24 and 196.67 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 944.24 = 196.67 : x
  2. Step 2: Convert to fraction form
    629.52/944.24 = 196.67/x
  3. Step 3: Cross multiply
    629.52x = 944.24 × 196.67
  4. Step 4: Simplify right side
    629.52x = 185,703.68
  5. Step 5: Solve for x
    x = 185,703.68/629.52
  6. Step 6: Final answer
    x = 294.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.